Explanation:

- We are asked to find the breadth of a wall given that its volume is 23958 cm³.

- The height of the wall is six times its breadth.

- The length of the wall is half of its height.

- Let's denote the breadth as B, height as 6B, and length as 3B (since length is half of height, or 6B/2).

Using the volume formula for a rectangular solid:

$$

\text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} = 3B \times B \times 6B = 18B^3

$$

- Substituting the volume equation with 23958 cm³:

$$

18B^3 = 23958

$$

- Solving for B:

$$

B^3 = \frac{23958}{18} = 1331

$$

- Taking the cube root:

$$

B = \sqrt[3]{1331} = 11

$$

- So, the breath of the wall is 11 cm.

The correct answer is 11 cm